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Timeline for de Rham vs Dolbeault Cohomology

Current License: CC BY-SA 3.0

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May 1, 2012 at 16:03 comment added Simon Rose @YangMills: I think he means that all Riemann surfaces of a given genus have the same deRham cohomology.
May 1, 2012 at 13:28 comment added YangMills @roy smith: How do the Riemann sphere and a torus have the same deRham cohomology?
Apr 27, 2012 at 19:12 comment added roy smith more specifically, all Riemann surfaces have the same deRham cohomology, but if the decompositions of H^1 by the dolbeault groups are the same, then the surfaces are holomorphically isomorphic.
Apr 27, 2012 at 17:42 comment added roy smith see mathoverflow.net/questions/13839/…
Apr 27, 2012 at 17:04 history answered Simon Rose CC BY-SA 3.0